Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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JORDAN AUTOMORPHIC GENERATORS OF EUCLIDEAN JORDAN ALGEBRAS

  • Kim, Jung-Hwa (Department of Mathematics Kyungpook National University) ;
  • Lim, Yong-Do (Department of Mathematics Kyungpook National University)
  • Published : 2006.05.01
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Abstract

In this paper we show that the Koecher's Jordan automorphic generators of one variable on an irreducible symmetric cone are enough to determine the elements of scalar multiple of the Jordan identity on the attached simple Euclidean Jordan algebra. Its various geometric, Jordan and Lie theoretic interpretations associated to the Cartan-Hadamard metric and Cartan decomposition of the linear automorphisms group of a symmetric cone are given with validity on infinite-dimensional spin factors

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References

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